Input-to-state stability (ISS) is a stability notion widely used to study stability of nonlinear control systems with external inputs. Roughly speaking, a control system is ISS if it is globally asymptotically stable in the absence of external inputs and if its trajectories are bounded by a function of the size of the input for all sufficiently large times.The importance of ISS is due to the fact that the concept has bridged the gap between and state-space methods, widely used within the control systems community. ISS unified the Lyapunov and input-output stability theories and revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, stability of nonlinear interconnected control systems, nonlinear detectability theory, and supervisory adaptive control. This made ISS the dominating stability paradigm in nonlinear control theory, with such diverse applications as robotics, mechatronics, systems biology, electrical and aerospace engineering, to name a few. The notion of ISS was introduced for systems described by ordinary differential equations by Eduardo Sontag in 1989. Since that the concept was successfully used for many other classes of control systems including systems governed by partial differential equations, retarded systems, hybrid systems, etc. (Wikipedia).
Reliability 1: External reliability and rater reliability and agreement
In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.
From playlist Reliability analysis
Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium,
From playlist Physics
Eigenvalues and Modes of Linear Systems
In this video we discuss how the eigenvalues of the A matrix lead to the modes of a linear state space system. We will also examine how to chose initial conditions to excite a specific mode. In other words, we use a carefully chosen initial condition to ensure that the state response of
From playlist Control Theory
The Step Response | Control Systems in Practice
Check out the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08pFBqgd_6Bi7msgkWFKL33b This video covers a few interesting things about the step response. We’ll look at what a step response is and some of the ways it can be used to specify design requirements f
From playlist Control Systems in Practice
Stability Analysis, State Space - 3D visualization
Introduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (7 of 23) Visiual Rep. of Equilibrium State
Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain a visual representation of equilibrium state and equation of state. Next video in this series can be seen at: https://youtu.be/UHjnWqmt_OA
From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS
A Conceptual Approach to Controllability and Observability | State Space, Part 3
Check out the other videos in the series: https://youtube.com/playlist?list=PLn8PRpmsu08podBgFw66-IavqU2SqPg_w Part 1 - The state space equations: https://youtu.be/hpeKrMG-WP0 Part 2 - Pole placement: https://youtu.be/FXSpHy8LvmY Part 4 - What Is LQR Optimal Control: https://youtu.be/E_RD
From playlist State Space
Halting problems for sandpiles and abelian networks - Lionel Levine
Computer Science/Discrete Mathematics Seminar II Topic: Halting problems for sandpiles and abelian networks Speaker: Lionel Levine Affiliation: Cornell University; von Neumann Fellow Date: March 12, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Feedback Control of Hybrid Dynamical Systems
Hybrid systems have become prevalent when describing complex systems that mix continuous and impulsive dynamics. Continuous dynamics usually govern the evolution of the physical variables in a system, while impulsive (or discrete) behavior is typically due to discrete events and abrupt cha
From playlist Complete lectures and talks: slides and audio
Feedback stabilization of open quantum systems - N. Amini - Workshop 2 - CEB T2 2018
Nina Amini (L2S Supelec) / 05.06.2018 Feedback stabilization of open quantum systems In this talk, we study design of different measurement-based feedbacks stabilizing open quantum systems using mainly stochastic Lyapunov techniques. In particular, we design a measurement-based feedback
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Choiceless Polynomial Time - Ben Rossman
Computer Science/Discrete Mathematics Seminar I Topic: Choiceless Polynomial Time Speaker: Ben Rossman Affiliation: University of Toronto Date: October 14, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
What is Pole Placement (Full State Feedback) | State Space, Part 2
Check out the other videos in the series: https://youtube.com/playlist?list=PLn8PRpmsu08podBgFw66-IavqU2SqPg_w Part 1 - The state space equations: https://youtu.be/hpeKrMG-WP0 Part 3 - Observability and Controllability: https://youtu.be/BYvTEfNAi38 Part 4 - What Is LQR Optimal Control: ht
From playlist State Space
Stanford Seminar - Model Predictive Control of Hybrid Dynamical Systems
Ricardo Sanfelice UC Santa Cruz November 8, 2019 Hybrid systems model the behavior of dynamical systems in which the states can evolve continuously and, at isolate time instances, exhibit instantaneous jumps. Such systems arise when control algorithms that involve digital devices are appl
From playlist Stanford AA289 - Robotics and Autonomous Systems Seminar
A bio-inspired bistable recurrent cell allows for long-lasting memory (Paper Explained)
Even though LSTMs and GRUs solve the vanishing and exploding gradient problems, they have trouble learning to remember things over very long time spans. Inspired from bistability, a property of biological neurons, this paper constructs a recurrent cell with an inherent memory property, wit
From playlist Papers Explained
Transfer Functions, Resonance, and Frequency Response. My Patreon page is at: https://www.patreon.com/EugeneK
From playlist Physics
Simple Examples of Rate and Bifurcation Tipping by Sebastian Wieczorek
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Overview lecture for bootcamp on optimal and modern control. In this lecture, we discuss the various types of control and the benefits of closed-loop feedback control. These lectures follow Chapter 8 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Con
From playlist Control Bootcamp
Stateflow Overview (Previous Version: R2013a )
Design and simulate state charts using Stateflow. For an updated version of this video, visit: https://youtu.be/TuL8cFqDu6A
From playlist Event-Based Modeling
Nonlinear Dynamics of Complex Systems:
Multi-Dimensional Time Series, Network Inference and Nonequilibrium Tipping - by Prof. Marc Timme - Lecture II
From playlist Networked Complexity