Blog Contents

Control Theory

Discrete LQR: Theory, Solving and Extension (離散LQR:原理,求解與拓展)
Controllability of Linear System — From the perspective of discrete system (線性系統可控性分析——從離散系統的角度)
Stability Proof of MPC — Terminal constraints (模型預測控制(MPC)的穩定性證明——終端約束)

Data Structure

Introduction to k-d tree (k-d tree 介紹)

Serial Port Communication between TI C6678 DSP and PC Matlab (TI C6678 DSP與PC Matlab 串口通信研究)
Implementation of Ethernet Communication between TI C6678 DSP and PC (TI C6678 DSP與PC 的以太網通信實現)

Numerical Optimization (Notes for Nocedal’s book)

Line Search Method 1 - 步長計算 (Step length calculation)

Numerical Optimization (Others)

Convergence Rate of Steepest Descent Method and Newton Method (最速下降法與牛頓法的收斂速率)
Duality of Optimization Problem (優化命題的對偶性)
Introduction to Interior Point Method (內點法介紹)

Research Oriented Programming Skills 面向科研的編程技巧

Basic Concepts in Statistics 概率論基礎概念總結

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