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How to show that controllability and observability are not affected by replacing $A$ with $(A+αI)$?

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#analysis #eigenvalues-eigenvectors #matrix-rank #control-theory #linear-control
548
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Critically damped system

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#ordinary-differential-equations #control-theory
275
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Study stability of a linear time-invariant system by its 5x5 A matrix

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#linear-algebra #dynamical-systems #control-theory
289
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Stability considerations for a special type of LTV systems

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#linear-algebra #ordinary-differential-equations #control-theory #linear-control
279
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Proving Input-to-State Stability of Control System with ISS Lyapunov Function

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#control-theory #nonlinear-system #stability-theory #lyapunov-functions
174
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Critically damped system with zeros

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#ordinary-differential-equations #laplace-transform #control-theory
93
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Eigenvector test for stabilizability

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#linear-algebra #control-theory #stability-theory
183
Views

Is it possible to conclude unstability if derivative of equilibrium point is zero?

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#ordinary-differential-equations #dynamical-systems #control-theory #stability-in-odes #stability-theory
182
Views

Block triangular state-transition matrix

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#linear-algebra #ordinary-differential-equations #dynamical-systems #control-theory
95
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For fixed $A$, which matrices $B$ make $BA$ stable?

Published on
#linear-algebra #optimization #numerical-linear-algebra #control-theory #least-squares
88
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How to show that the infinity norm obtained in the problem given below is correct?

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#linear-algebra #control-theory #stability-theory #matrix-norms #lyapunov-functions
84
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Boeing 747 Autopilot Vertical Speed Function (PID Controller)

Published on
#calculus #control-theory
58
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Adaptive control

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#control-theory #optimal-control #adaptive-control #model-predictive-control
108
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Sufficient condition for optimal control with functional having second order state derivatives

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#control-theory #optimal-control #constraints
425
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What is so meaningful about Pontryagin's Maximum Principle?

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#optimization #control-theory #optimal-control

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