User:Haohe

This is He's personal webpage for study!

Try to improve yourself everyday!
Ask not what your country can do for you, ask what you can do for your country!

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Notion	link
Strictly proper	http://en.wikipedia.org/wiki/Strictly_proper
H Infinity	http://en.wikipedia.org/wiki/H_infinity In MATLAB, [ninf,fpeak] = norm(sys,inf)
Bode's sensitivity integral	http://en.wikipedia.org/wiki/Bode%27s_sensitivity_integral
Complementary Sensitivity Function	http://www.jhu.edu/~signals/sensitivity/index.htm
Rational Function	http://en.wikipedia.org/wiki/Rational_function
Big O Notation	http://en.wikipedia.org/wiki/Big_O_notation
Routh–Hurwitz stability criterion	http://en.wikipedia.org/wiki/Routh_Hurwitz_stability_criterion
Solutions of ODE and PDE	http://eqworld.ipmnet.ru/en/solutions/ode.htm
Orthogonality of trigonometric functions	http://web.nuist.edu.cn/courses/gdsx/calculus2/CHAP11/section6/11.6.1.2.HTM
Partial differential equation	http://en.wikipedia.org/wiki/Partial_differential_equation
Separation of variables	http://en.wikipedia.org/wiki/Separation_of_variables
QR Decomposition	http://en.wikipedia.org/wiki/QR_decomposition
Kernel or Null Space	http://en.wikipedia.org/wiki/Nullspace
State space (controls)	http://en.wikipedia.org/wiki/State_space_(controls)
Asymptotic stability	http://en.wikipedia.org/wiki/Asymptotic_stability
Marginal stability	http://en.wikipedia.org/wiki/Marginal_stability
Setpoint	http://en.wikipedia.org/wiki/Setpoint_(control_system)
Lyapunov stability	http://en.wikipedia.org/wiki/Lyapunov_stability
LQR	http://en.wikipedia.org/wiki/Linear-quadratic_regulator
Heaviside step function	http://en.wikipedia.org/wiki/Heaviside_function
Euler formula	http://en.wikipedia.org/wiki/Euler
Laplacian matrix	http://en.wikipedia.org/wiki/Laplacian_matrix
Adjacency matrix	http://en.wikipedia.org/wiki/Adjacency_matrix
Unimodular matrix	http://en.wikipedia.org/wiki/Unimodular_polynomial_matrix
Nullspace	http://en.wikipedia.org/wiki/Nullspace_(linear_algebra)
Pointwise convergence	http://en.wikipedia.org/wiki/Pointwise_convergence
Directional derivative	http://en.wikipedia.org/wiki/Directional_derivative
Alpha	http://en.wikipedia.org/wiki/Alpha_(letter)
Control Tutorial for Matlab	http://www.engin.umich.edu/group/ctm/home.text.html
Hurwitz matrix	http://en.wikipedia.org/wiki/Hurwitz_matrix
Autonomous system	http://en.wikipedia.org/wiki/Autonomous_system_(mathematics)
APadé approximant	http://en.wikipedia.org/wiki/Pade_approximation
Divergence	http://en.wikipedia.org/wiki/Divergence
Laplace operator	http://en.wikipedia.org/wiki/Laplace_operator
Trace(Linear Algebra)	http://en.wikipedia.org/wiki/Trace_(linear_algebra)
Wave(Mathematics)	http://en.wikipedia.org/wiki/Wave#Mathematical_description
Transmission line	http://en.wikipedia.org/wiki/Transmission_line
Telegrapher's equations	http://en.wikipedia.org/wiki/Telegrapher%27s_equation
Characteristic impedance	http://en.wikipedia.org/wiki/Characteristic_impedance
D'Alember solution of Wave Equation	http://people.uncw.edu/hermanr/pde1/dAlembert/dAlembert.htm
Root of unity	http://en.wikipedia.org/wiki/Root_of_unity
Lipschitz continuity	http://en.wikipedia.org/wiki/Lipschitz_continuity
Infimum	http://en.wikipedia.org/wiki/Infimum
Method of variation of parameters	http://en.wikipedia.org/wiki/Variation_of_parameters
Singular value	http://en.wikipedia.org/wiki/Singular_value
Control-Lyapunov function	http://en.wikipedia.org/wiki/Control-Lyapunov_function
Green's theorem	http://en.wikipedia.org/wiki/Green_theorem
Absolute continuity	http://en.wikipedia.org/wiki/Absolute_continuity

1) Controllability & observability of a LTI system are invariant under any equivalence transformation.
2) A LTI system is stabilizable via linear state feedback if and only if its uncontrollable part is stable.
3) A system is said to be detectable if its unobservable subspace is stable.
4) Kalman’s decomposition resolves one of the longstanding problems in control, namely, the problem of cancellation of poles and zeros.